On the Distribution of Zeroes of Artin-Schreier L-functions

2011/05/27 by Entin, Alexei
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1105.5517

Abstract

We study the distribution of the zeroes of the L-functions of curves in the Artin-Schreier family. We consider the number of zeroes in short intervals and obtain partial results which agree with a random unitary matrix model.

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